Integrability of some quantum problems related to the root system \(B_2\) (Q1584128)
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scientific article; zbMATH DE number 1524035
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrability of some quantum problems related to the root system \(B_2\) |
scientific article; zbMATH DE number 1524035 |
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Integrability of some quantum problems related to the root system \(B_2\) (English)
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31 October 2000
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The author proves the algebraic integrability of the two-dimensional analogue of the Lamé operator related to the system of roots~\(B_2\) \[ L=-\Delta + 2(\wp(x) +\wp(y))+4(\wp(x+y) +\wp(x-y)), \] where \(\wp\) is the elliptic Weierstrass function. Besides, the integrals are determined for the operator related to the deformed system of roots \(B_2(l,m)\).
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Lame operator
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integrable system
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Schrödinger equation
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